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Beliebt Rechnen >

limit as x approaches 3-of (7-x)/(x-3)

Lösung

x \to 3 - lim (\frac{7 - x}{x - 3})

Lösung

- \infty

Schritte zur Lösung

x \to 3 - lim (\frac{7 - x}{x - 3})

\frac{7 - x}{x - 3} = (7 - x) \frac{1}{x - 3}

= x \to 3 - lim ((7 - x) \frac{1}{x - 3})

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

mit Einschränkung des unbestimmten Ausdrucks

= x \to 3 - lim (7 - x) \cdot x \to 3 - lim (\frac{1}{x - 3})

x \to 3 - lim (7 - x) = 4

x \to 3 - lim (\frac{1}{x - 3}) = - \infty

= 4 (- \infty)

Wende die Unendlichkeitseigenschaft an:

c \cdot (- \infty) = - \infty

= - \infty

Graph

Beliebte Beispiele

integral of sqrt(1-4x)

\int 1 - 4 x d x

integral of 3x^2(x-2)(x+3)

\int 3 x^{2} (x - 2) (x + 3) d x

integral from 1 to 2 of 3(ln(x))/(x^2)

\int_{1}^{2} 3 \frac{ln ( x )}{x ^{2}} d x

derivative of sqrt(x)dx

\frac{d}{d x} (x d x)

derivative of (1+x^{-3})

\frac{d}{d x} ((1 + x)^{- 3})